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Instructions
Directions for the next 2 questions:
For a real number x, let
$$f(x) = 1/(1+x),$$ if $$x$$ is non-negative
$$f(x) = 1+x,$$ if $$x$$ is negative
$$f^n(x) = f(f^{n-1}(x)), n = 2, 3.....$$
Solution
f(2) = 1/3
$$f^2(2)$$ = f(1/3) = 3/4
$$f^3(2)$$ = f(3/4) = 4/7
$$f^4(2)$$ = f(4/7) = 7/11
$$f^5(2)$$ = f(7/11) = 11/18
So, product = 1/18
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